In this section, we analyze the \(P-V\)  criticality of RN-AdS black holes in the presence of thermal fluctuations. We use the critical point investigation method which is defined in Ref. [1]}. From Eqs. (REF ) and (REF ), one can obtain the equation of state
\(P=\frac{Q^{2}}{8\pi r_{h}^{4}}-\frac{1}{8\pi r_{h}^{2}}+\frac{T}{4r_{h}}-\frac{aT}{4\pi r_{h}^{3}}\pm \frac{\sqrt{\pi ^{2}T^{2}r_{h}^{14}-W(a)}}{4\pi r_{h}^{8}}\) 
